adding and subtracting polynomials
Answer:
d - c = -10y^2 -y -10
Step-by-step explanation:
-7y^2 - 3y^2 = - 10y^2
3y- 4y = -1y or -y
-6 - 4 = -10
Answer:
-10y^2 - y - 10
Step-by-step explanation:
First put them in order:
(-7y^2+3y-6)-(3y^2+4y+4)
Then distribute the negative to the second set of parentheses:
-7y^2+3y-6-3y^2-4y-4
Then simplify leaving you with the answer
-10y^2 - y - 10
825 grams of almonds for 23.41 (Find the price per 100g)
Answer:
2.83
Step-by-step explanation:
this is the approach i would take to solve this;
take the amount of money the almonds are and divide how many grams that would consist of
23.41 / 825 =
0.02837576 this is the price for 1 gram of almonds.
take this number and multiply by 100 to find how much 100g would cost.
0.0283 * 100 = 2.83
the price of 100 grams is 2.83
i hope this helped you!
:)
The price per 100 grams of almonds is 2.837 when dividing the total cost of 23.41 by the weight of 825 grams and then multiplying the result by 100.
To find the price per 100 grams of almonds, we will first need to calculate the cost per gram and then multiply it by 100 to get the cost for 100 grams. Here is how you can do it:
Divide the total cost by the total weight in grams to get the price per gram. Price per gram =Let's calculate it step-by-step:
Price per gram = 23.41 / 825 = 0.02837 (rounded to 5 decimal places).Price per 100 grams = 0.02837Therefore, the price per 100 grams of almonds is 2.837.
The scores on the verbal section of the Graduate Records Examination (GRE) are approximately normally distributed with a mean of 150 and a standard deviation of 8.5. What is the probability that a randomly selected score on the verbal section is higher than 165?
Answer:
0.039
Step-by-step explanation:
There is a probability of 3.94% that a randomly selected score on the verbal section is higher than 165
What is z score?
The z score is used to show by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean)/standard deviation
Given that mean of 150 and a standard deviation of 8.5. Hence:
For x > 165
z = (165 - 150)/8.5 = 1.76
P(z > 1.76) = 1 - P(z < 1.76) = 1 - 0.9606 = 0.0394
There is a probability of 3.94% that a randomly selected score on the verbal section is higher than 165
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a cube has a surface area of 294 square inches what is the volume of the cube?
Answer:
343 cubic inches
Answer:
V=343
Step-by-step explanation:
The formula for surface area is SA=6s^2. The formula for volume is V=s^3. Plugging in the surface area and solving for s in the first one gives you s=✓(294/6). This results in a value of 7 for the s or side length. Cubing this gives you the volume.
V=7^3
V=343
HELP ASAP PLEASE!!!!!!!!!!
What is the volume of the composite figure shown below?
2 rectangular prisms. One prism has a length of 13 millimeters, width of 12 millimeters, and height of 12 millimeters. The other prism has a length of 15 millimeters, width of 12 millimeters, and height of 3 millimeters.
1,008 millimeters cubed
2,412 millimeters cubed
2,880 millimeters cubed
3,465 millimeters cubed
Answer:
2412 mm³
Step-by-step explanation:
It's two rectangular prisms.
Let's start with the formula for volume --> V = Bh
Top prism
V = Bh
V = (13*12)(12)
V = (156)(12)
V = 1872 mm³
Bottom prism
V = Bh
V = (15*12)(3)
V = (180)(3)
V = 540 mm³
Now add them both together and you get 540 + 1872 = 2412 mm³
The volume of the composite figure shown below is,
⇒ 2412 mm³
What is mean by Cuboid?A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
Given that;
Two rectangular prisms are shown.
Since, The formula for volume of Cuboid is,
⇒ V = Bh
Hence, For Top prism;
V = Bh
V = (13×12)(12)
V = (156)(12)
V = 1872 mm³
And. For Bottom prism;
V = Bh
V = (15×12)(3)
V = (180)(3)
V = 540 mm³
Thus, The volume of the composite figure shown below is,
⇒ 540 + 1872 = 2412 mm³
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The height of an object seconds after it is launched is modeled by the function h(t)=-4t^2+16t+180. When will the object hit the ground?
Answer:
9 seconds after the object is launched
Step-by-step explanation:
The function models the height of the object as a function of the time after the object is launched. Therefore h(t) will be zero, and you will solve for t like a normal quadratic equation.
0 = -4t² + 16t + 180
First, you can factor out the -4 from all the terms.
0 = -4(t² - 4t - 45)
Next, factor what is inside the parentheses
0 = -4 (t + 5) (t - 9)
Then you set each of the factors individually to zero and solve
t + 5 = 0 and t - 9 =0
From this we get that time is:
t = -5 and t = 9
Now that time cannot be negative, we figure out that the time is 9 seconds, therefore the object will hit the ground after 9 seconds.
If 1 pound of pecans costs 30y cents, what is
the cost of 7x pounds of pecans?
Answer:
210 cents or $2.10
Step-by-step explanation:
30 x 7 = 210
Can u show me how to simply this step by step please? This is very important. HELP!!!!!
Given:
[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]
To find:
The simplified expression.
Solution:
[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex]
Apply the fraction rule: [tex]\frac{\frac{y}{z}}{x}=\frac{y}{z \cdot x}[/tex]
[tex]$\frac{\left(\frac{a^{2}-b^{2}}{a b}\right)}{\left(\frac{1}{b}-\frac{1}{a}\right)}=\frac{a^{2}-b^{2}}{a b\left(\frac{1}{b}-\frac{1}{a}\right)}[/tex] ------------ (1)
Let us simplify [tex]\frac{1}{b}-\frac{1}{a}[/tex].
LCM of a and b = ab
Adjacent fraction based on the LCM
[tex]\frac{1}{b}-\frac{1}{a}=\frac{a}{a b}-\frac{b}{a b}[/tex]
[tex]=\frac{a-b}{a b}[/tex]
Substitute this in equation (1).
[tex]$=\frac{a^{2}-b^{2}}{\frac{a-b}{a b} a b}[/tex]
Common factor ab get canceled.
[tex]$=\frac{a^{2}-b^{2}}{a-b}[/tex]
Apply the algebraic formula: [tex]x^{2}-y^{2}=(x+y)(x-y)[/tex]
[tex]$=\frac{(a+b)(a-b)}{a-b}[/tex]
Cancel the common factor a - b, we get
[tex]=a+b[/tex]
The simplified expression is a + b.
A figure has two sets of congruent sides and two sets of parallel sides.
Answer:
parallelogram
Step-by-step explanation:
11. Solve: K + 5 < -3
Answer:
[tex]k < -8[/tex]
Step-by-step explanation:
Step 1: Subtract 5 from both sides
[tex]k + 5 < -3[/tex]
[tex]k + 5 - 5 < -3 - 5[/tex]
[tex]k < -8[/tex]
Answer: [tex]k < -8[/tex]
Answer:
K < -8
Step-by-step explanation:
K + 5 < -3
Subtract 5 from each side
K + 5-5 < -3-5
K < -8
A where and a cylinder have the same radius and height . The volume of the cylinder is 48 cm 3. What is the volume of the sphere?
Given:
Sphere and cylinder have same radius and height.
Volume of the cylinder = 48 cm³
To find:
The volume of the sphere.
Solution:
Radius and height of cylinder are equal.
⇒ r = h
Volume of cylinder:
[tex]V=\pi r^2h[/tex]
Substitute the given values.
[tex]48=\pi r^2r[/tex] (since r = h)
[tex]48=\pi r^3[/tex]
[tex]48=3.14 \times r^3[/tex]
Divide by 3.14 on both sides.
[tex]$\frac{48}{3.14} =\frac{3.14\times r^3}{3.14}[/tex]
[tex]$15.28=r^3[/tex]
Taking cube root on both sides, we get
2.48 = r
The radius of the cylinder is 2.48 cm.
Sphere and cylinder have same radius and height.
Volume of sphere:
[tex]$V=\frac{4}{3} \pi r^3[/tex]
[tex]$V=\frac{4}{3} \times 3.14 \times (2.48)^3[/tex]
[tex]V=63.85[/tex]
The volume of the sphere is 63.85 cm³.
PLEASE HELP URGENT ! Find the value of each expression. Then, complete the inequality statement. -1/4) -2/5 __ - 5/6 ÷1/8 < > =
Answer:
>
Step-by-step explanation:
I had this question once sorry i'm late but -1/4) -2/5 = 1/10 , - 5/6 ÷1/8 = -6 and a fraction I keep forgetting so( -1/4) -2/5 > - 5/6 ÷1/8 )
4 1/2+ 1 1/3 + 6 1/3=
Answer:
44/1/2
Step-by-step explanation:
What is the gcf 12x^5 8x^3
Answer:
So, the GCF of 12x^5 and 8x^3 is 4x^3.
Step-by-step explanation:
To find the greatest common factor (GCF) of 12x^5 and 8x^3, you can break down each term into its prime factors and then identify the common factors:
12x^5 = 2^2 * 3 * x^5
8x^3 = 2^3 * x^3
Now, identify the common factors is this :
The common factor of 2^2 (4) and 2^3 (8) is 2^2 (4).
The common factor of x^5 and x^3 is x^3.
So, the GCF of 12x^5 and 8x^3 is 4x^3.
The GCF of 12x^5 and 8x^3 is 4x^3.
Explanation:The GCF (Greatest Common Factor) of 12x^5 and 8x^3 can be found by factoring out the common factors of the two terms. In this case, the common factor between the two terms is 4x^3.
To find the GCF, we need to find the highest power of x that can be divided into both terms: 12x^5 and 8x^3. Since 4x^3 is the highest power of x that can be divided into both terms, it is the GCF.
Therefore, the GCF of 12x^5 and 8x^3 is 4x^3.
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The graph of 2x + 3y = 8 is shown on the grid. Which ordered pair is in the solution set of 2x + 3y = 8?
es )
A)
(1,4)
(1,-4)
(4,1)
(1.4)
Answer:
None of these solutions
Step-by-step explanation:
Substitute the values for x and y into the equation and see if they work out:
2(1)+3(4)=8
14 is not equal to 8, so (1,4) is not a solution.
2(1)+3(-4)=8
-10 is not equal to 8, so (1, -4) is not a solution.
2(4)+3(1)=8
11 is not equal to 8, so (4,1) is not a solution.
You repeated the first option as the last one but with a period instead for some reason, perhaps a typo?
Find the area of the circle if r = 5 meters. Leave the answer in terms of π.
A) A =100π square meters
B) A =25π square meters
C) A = 5π square meters
D) A = 10π square meters
Hope this will help u...
A regular pentagon and a rectangle have the same perimeter. The width of the rectangle is 10 more than its length
The length of the rectangle and the side of the pentagon are equal. What can be concluded about what is needed to
write an equation? Check all that apply.
Answer:
If we use the variable l for length, then the width is l + 10.
A key phrase is “same perimeter.”
A key word is “equal” when referring to the length of the two shapes.
Step-by-step explanation:
i did the problem on online school
An equation to represent the given situation is 4x+20=5x+50.
Given that, a regular pentagon and a rectangle have the same perimeter.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the length of a rectangle be x.
Then, the width of the rectangle is 10 more than its length be x+10.
The length of the rectangle and the side of the pentagon are equal.
So, the side of the pentagon = x+10
Now, the equation is 2(x+x+10)=5(x+10)
⇒ 2(2x+10)=5(x+10)
⇒ 4x+20=5x+50
Therefore, an equation to represent the given situation is 4x+20=5x+50.
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Question 3
Which of the following are solutions of the
equation represented by the graph?
Mark all that apply answer
0,1
2,4
-4,1
-1,2
3,8
1,0
Answer:
0,1
2,4
3,8
Are all the solutions that apply to the graph
Step-by-step explanation:
What is the value of x in the equation 5x+3 - 4x?
5x + 3 - 4x = 0
x + 3 = 0
x = -3
Hope this helps :)
Solve the following system of equations using the substitution method.
x=2y
2x+5y=9
x=
and
y=
Answer:
9, -2
Step-by-step explanation:
right on edg 2020
True or False? The mapping N(t), whose mapping diagram is shown below is a function.
Answer:true
Step-by-step explanation:if there are more than one arrow coming from the x value which is the one to the left then it would be false .It doesn't matter if there are multiple arrow on the y values tho. Which is the one to the right.
Which statement about the scenario represented in the table is true? Assume time is the independent variable
Answer:B
Step-by-step explanation:
Answer: B on edg 2020
Step-by-step explanation:
next question
what is 5+5x245x100-150x10000000000?
Answer:
cant get an exact answer this is the best ur gonna get 3.675e+17
Step-by-step explanation:
This is urgent, please answer!
Anna cuts four identical circles from a square piece of a black poster as shown.
What is the area of the leftover poster board?
Use 3.14 for Pi
A. 3.44 square feet
B. 6.58 square feet
C. 12.56 square feet
D. 12.86 square feet
mac has 11 different pictures to chose from. How many different arrangements can he make if he only uses 5 of the pictures?
Answer:
55440 different arrangements
Step-by-step explanation:
The answer is:
11 x 10 x 9 x 8 x 7
Which is equal to 55440 different arrangements
Support me by marking my answer as brainiest
Mac can create 55,440 different arrangements by using 5 out of his 11 pictures, calculated using the permutation formula P(11, 5).
The question asks how many different arrangements Mac can make using 5 out of 11 different pictures. To calculate this, we use the concept of permutations which is given by the formula P(n, r) = n! / (n-r)!, where n is the total number of items, and r is the number of items to arrange.
In this case, Mac has 11 pictures (n = 11) and wants to arrange 5 of them (r = 5). Thus, the number of arrangements (permutations) can be found by the calculation: P(11, 5) = 11! / (11-5)! = 11! / 6!, which equals 11 x 10 x 9 x 8 x 7 = 55,440 different arrangements.
The perimeter of the following figure is 18.6 inches. What is the length of n?
Given:
Perimeter of the figure = 18.6 inches
To find:
The length of n.
Solution:
Perimeter of the figure = 18.6 inches
Perimeter = Sum of the sides
3 + 6.3 + 4.5 + n = 18.6
13.8 + n = 18.6
Subtract 13.8 from both sides.
13.8 + n - 13.8 = 18.6 - 13.8
n = 18.6 - 13.8
n = 4.8
The length of n is 4.8 inch.
If you roll a six sided die six times What is the best prediction possible for the number of times you will roll an even number?
Answer:
it is a 3/6% chance to get an even and it is also depends on your luck
Step-by-step explanation:
Find the circumference of a model Ferris Wheel with a diameter of 10 inches. Use 3.14 for pi. Round to the nearest tenth.
Answer:31.42
Step-by-step explanation:First you need to find the radius of the circle,so you know the radius is half of the diameter,so you take the radius(2) and multiplys by the pi which is 3.14 the formula is r^ x π
Answer:
31.4 in^2
Explanation:
The Formula for finding circumference is π*d (d=Diameter) or in this case 3.14*d. all you have to do is plug in 10 into the formula and get 3.14*10= 31.4 in^2
Help me ASAP!!!! Please give me the write answer!!!!!
Answer:
21
Step-by-step explanation:
69+21=420